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Transport Theory and Statistical Physics Volume 11, 1982 - Issue 3-4
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Original Articles

Abstract boundary value problems from kinetic theory

William Greenberg Laboratory for Transport Theory and Mathematical Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, 24061
&
Cor van der Mee Laboratory for Transport Theory and Mathematical Physics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia, 24061; Dept. of Physics & Astronomy, Vrÿe Universiteit, De Boelelaan 1081 1081 HV, Amsterdam, THE NETHERLANDS
Pages 155-181 | Published online: 01 Dec 2006
 
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Abstract

The abstract differential equation (Tf)' = −Af with “partial range” boundary conditions is solved on a Hilbert space. T and A are (possibly unbounded) self-adjoint operators, A ≥ 0 and semi-Fredholm. Examples from kinetic theory are given.

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